Search a number
-
+
533047680 = 273251147179
BaseRepresentation
bin11111110001011…
…010100110000000
31101011000121221200
4133301122212000
52042430011210
6124521021200
716131554604
oct3761324600
91334017850
10533047680
11253989680
1212a624800
1386586339
1450b19504
1531be50c0
hex1fc5a980

533047680 has 384 divisors, whose sum is σ = 2062195200. Its totient is φ = 125767680.

The previous prime is 533047661. The next prime is 533047693. The reversal of 533047680 is 86740335.

It is a happy number.

533047680 is a `hidden beast` number, since 533 + 0 + 47 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2977831 + ... + 2978009.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2533047680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031097600).

533047680 is an abundant number, since it is smaller than the sum of its proper divisors (1529147520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

533047680 is a wasteful number, since it uses less digits than its factorization.

533047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 533047680 is about 23087.8253631649. The cubic root of 533047680 is about 810.8154567806.

The spelling of 533047680 in words is "five hundred thirty-three million, forty-seven thousand, six hundred eighty".